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Finding the Fourth Proportional to 397,344, 548,451.36 and 236,313.12

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Solution

The fourth proportional to 397,344, 548,451.36 and 236,313.12 is: 326,181.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,344 : 548,451.36 = 236,313.12 : x
  2. Step 2: Convert to fraction form
    397,344/548,451.36 = 236,313.12/x
  3. Step 3: Cross multiply
    397,344x = 548,451.36 × 236,313.12
  4. Step 4: Simplify right side
    397,344x = 129,606,252,049.84
  5. Step 5: Solve for x
    x = 129,606,252,049.84/397,344
  6. Step 6: Final answer
    x = 326,181.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.